Question: Please do in matlab and plot, thank you You are given the following system of non-linear equations: 2x3y=03y3x=0 Find all 3 pairs of roots for

Please do in matlab and plot, thank you You are given thePlease do in matlab and plot, thank you

You are given the following system of non-linear equations: 2x3y=03y3x=0 Find all 3 pairs of roots for the equations using an analytical approach, a graphical approach, or MATLAB built-in functions. (2 marks) Follow the steps below to find the pairs of roots using the Newton-Raphson method for solving a system of two non-linear equations (see lecture slides) until the percent estimated relative error falls below 0.01%. (4 marks) Step 1: Define different starting points (x0, y0) such that they range from 1 to +1 with an interval of 0.01. Step 2: For each of these starting points, determine which root it converges to by measuring the L2-norm between the estimated root and roots in part a). The tolerance for this measurement should be set carefully as this choice can change your plot. Try different tolerances. Step 3: Specify a colour for all starting points that converge to the same root. Step 4: Plot all starting points with their respective colours on a single figure. Plot all 3 pairs of roots from part a) in the figure as well

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